Convergence analysis of Runge-Kutta Multiresolution time-domain scheme

被引：0

作者：

Wang, Yi ^{[1
]}

Cao, Qunsheng ^{[1
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Coll Informat Sci & Technol, Nanjing 210016, Peoples R China

来源：

APMC: 2008 ASIA PACIFIC MICROWAVE CONFERENCE (APMC 2008), VOLS 1-5 | 2008年

关键词：

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The MRTD method highlighted an improvement in the observed dispersion characteristics over the classical FDTD, however the high convergence is hindered because of the low order time-stepping procedure. In this paper, we analyze the convergence of a newly introduced scheme in which the MRTD is incorporated a high-order Runge-Kutta time integrators technique, and show that the mth-order convergence can only be achieved using the same spatial integration order and the same mth-order SSP RK method.

引用

页码：2583 / 2586

页数：4

共 50 条

[21] Convergence of Runge-Kutta Methods for Delay Differential Equations
K. J. In 't Hout
BIT Numerical Mathematics, 2001, 41 : 322 - 344
[22] Convergence of Runge-Kutta methods for nonlinear parabolic equations
Ostermann, A
Thalhammer, M
APPLIED NUMERICAL MATHEMATICS, 2002, 42 (1-3) : 367 - 380
[23] Local time-stepping for adaptive multiresolution using natural extension of Runge-Kutta methods
Lopes, Muller Moreira
Domingues, Margarete Oliveira
Schneider, Kai
Mendes, Odim
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 382 (291-318) : 291 - 318
[24] A Mathematical Model of Real-Time Simulation and the Convergence Analysis on Real-Time Runge-Kutta Algorithms
Song Xiaoqiu
Chinese Journal of Systems Engineering and Electronics, 1991, (01) : 129 - 139
[25] An Efficient Scheme for the Implementation of Implicit Runge-Kutta Methods
Skvortsov, L. M.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2008, 48 (11) : 2007 - 2017
[26] Implicit extensions of an explicit multirate Runge-Kutta scheme
Constantinescu, Emil M.
APPLIED MATHEMATICS LETTERS, 2022, 128
[27] An efficient scheme for the implementation of implicit Runge-Kutta methods
L. M. Skvortsov
Computational Mathematics and Mathematical Physics, 2008, 48 : 2007 - 2017
[28] CONVERGENCE ANALYSIS OF RUNGE-KUTTA METHODS FOR A CLASS OF RETARDED DIFFERENTIAL ALGEBRAIC SYSTEMS
Xiao Feiyan
Zhang Chengjian
ACTA MATHEMATICA SCIENTIA, 2010, 30 (01) : 65 - 74
[29] CONVERGENCE ANALYSIS OF RUNGE-KUTTA METHODS FOR A CLASS OF RETARDED DIFFERENTIAL ALGEBRAIC SYSTEMS
肖飞雁
张诚坚
Acta Mathematica Scientia, 2010, 30 (01) : 65 - 74
[30] ON THE CONVERGENCE OF MONOLITHIC MULTIGRID FOR IMPLICIT RUNGE-KUTTA TIME STEPPING OF FINITE ELEMENT PROBLEMS
Kirby, Robert C.
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2024, 46 (05): : S22 - S45

← 1 2 3 4 5 →